Math Problem Statement
Which is a y-intercept of the continuous function in the table?
Solution
The question asks for the y-intercept of the continuous function shown in the table. The y-intercept is the point where the function crosses the y-axis, which means the value of .
From the table, when , . Therefore, the y-intercept is at the point .
The correct answer is:
Would you like further details or have any questions?
Here are 5 related questions to explore further:
- What does the x-intercept represent in a function?
- How can you find the slope between two points from a table like this one?
- What is the significance of the continuity of a function?
- How can a function's behavior be predicted from its table of values?
- What are the different types of intercepts a function can have?
Tip: The y-intercept is always found where , while the x-intercept(s) occur where .
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Intercepts
Formulas
y-intercept occurs at x = 0
Theorems
Continuity of functions
Suitable Grade Level
Grades 7-9